G/G Models and W_N strings

Abstract

We derive the BRST cohomology of the G/G topological model for the case of A^{(1)}_{N-1} . It is shown that at level k={p/q}-N the latter describes the (p,q) W_N minimal model coupled to $W_N$ gravity (plus some extra ``topological sectors").

17 pages

References in corpus (4)

• Physical States in G/G Models and 2d Gravity
• Topological Matter, Integrable Models and Fusion Rings
• A Review of $W$ Strings
• Topological Gauged WZW Models and 2D Gravity

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• c=1 String Theory as a Topological G/G Model
• Fusion rules and singular vectors of the osp(1|2) current algebra
• gl(N,N) Current Algebras and Topological Field Theories
• Subtleties in QCD theory in Two Dimensions
• Structure constants for the osp(1|2) current algebra
• On some 3-point functions in the $W_4$ CFT and related braiding matrix
• Topological current algebras in two dimensions
• Semi-infinite cohomology in conformal field theory and 2d gravity
• The W_3 algebra: modules, semi-infinite cohomology and BV-algebras
• Superconformal current algebras and topological field theories
• Construction of BRST invariant states in $G/H$ WZNW models.